Question

Given the information below, find AC. B is between A and C AC=2x+8 AB=4x-16 BC=3x-6

Answer 1

`AC = 20`

Explanation:

Given

`AC = 2x + 8`

`AB = 4x - 16`

`BC = 3x - 6`

Required

Find AC

First, we need to solve for x

Since B is between A and C, then

`AC = AB + BC`

Substitute values for AC, AB and BC

`2x + 8 = 4x - 16 + 3x - 6`

Collect Like Terms

`2x - 4x - 3x = -16 - 6 - 8`

`-5x = -30`

Divide through by -5

`(-5x)/(-5) = (-30)/(-5)`

`x = (-30)/(-5)`

`x = 6`

Substitute 6 for x in
`AC = 2x + 8`

`AC= 2 * 6 + 8`

`AC= 12 + 8`

`AC = 20`